Nonparametric estimation of the density of regression errors

Comptes Rendus Mathematique - Tập 349 - Trang 1281-1285 - 2011
Rawane Samb1
1ISBA, Université Catholique de Louvain, 20, voie du Roman pays, B-1348 Louvain-la-Neuve, Belgium

Tài liệu tham khảo

Akritas, 2001, Non-parametric estimation of the residual distribution, Scand. J. Stat., 28, 549, 10.1111/1467-9469.00254 Cheng, 2005, Asymptotic distributions of error density and distribution function estimators in nonparametric regression, J. Statist. Plann. Inference, 128, 327, 10.1016/j.jspi.2003.12.004 Deheuvels, 2004, General asymptotic confidence bands based on kernel-type function estimators, Stat. Inference Stoch. Process., 7, 225, 10.1023/B:SISP.0000049092.55534.af Efromovich, 2005, Estimation of the density of the regression errors, Ann. Statist., 33, 2194, 10.1214/009053605000000435 Müller, 2009, Estimating the error distribution in nonparametric regression with multivariate covariates, Statist. Probab. Lett., 79, 957, 10.1016/j.spl.2008.11.024 Nadaraya, 1964, On a regression estimate, Teor. Verojatnost. i Primenen., 9, 157 Neumeyer, 2010, Estimating the error distribution in nonparametric multiple regression with applications to model testing, J. Multivariate Anal., 101, 1067, 10.1016/j.jmva.2010.01.007 Pinsker, 1980, Optimal filtering of a square integrable signal in Gaussian white noise, Probl. Inf. Transm., 16, 52 Plancade, 2008, Nonparametric estimation of the density of the regression noise, C. R. Acad. Sci. Paris, Ser. I, 346, 461, 10.1016/j.crma.2008.02.021 Scott, 1992 Silverman, 1986, Density Estimation for Statistics and Data Analysis, vol. 26 Wand, 1995 Watson, 1964, Smooth regression analysis, Sankhyā Ser. A, 26, 359